Least Common Multiple of 7285 and 7289
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7285 and 7289 the smallest integer that is 53100365 that is divisible by both numbers.
Least Common Multiple (LCM) of 7285 and 7289 is 53100365.
LCM(7285,7289) = 53100365
LCM of 7285 and 7289
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7285 and 7289 by Prime method
- Least Common Multiple of 7285 and 7289 with GCF Formula
LCM of 7285 and 7289 is 53100365
Least common multiple can be found by multiplying the highest exponent prime factors of 7285 and 7289. First we will calculate the prime factors of 7285 and 7289.
Prime Factorization of 7285
| 5 | 7285 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 7285 are 5, 31,47. Prime factorization of 7285 in exponential form is:
7285 = 51×311×471
Prime Factorization of 7289
| 37 | 7289 |
| 197 | 197 |
| 1 |
Prime factors of 7289 are 37,197. Prime factorization of 7289 in exponential form is:
7289 = 371×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 7285 and 7289.
LCM(7285,7289) = 51×311×371×471×1971
LCM(7285,7289) = 53100365
Factors of 7285
List of positive integer factors of 7285 that divides 7285 without a remainder.
1, 5, 31, 47, 155, 235, 1457, 7285
Factors of 7289
List of positive integer factors of 7289 that divides 7289 without a remainder.
1, 37, 197, 7289
Least Common Multiple of 7285 and 7289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7285 and 7289, than apply into the LCM equation.
GCF(7285,7289) = 1
LCM(7285,7289) = ( 7285 × 7289) / 1
LCM(7285,7289) = 53100365 / 1
LCM(7285,7289) = 53100365
Properties of LCM 7285 and 7289
(i) The LCM of 7289 and 7285 is associative
LCM of 7285 and 7289 = LCM of 7289 and 7285
Related Least Common Multiples of 7285
Related Least Common Multiples of 7289
Frequently Asked Questions on LCM of 7285 and 7289
1. What is the LCM of 7285 and 7289?
Answer: LCM of 7285 and 7289 is 53100365.
2. What are the Factors of 7285?
Answer: Factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285. There are 8 integers that are factors of 7285. The greatest factor of 7285 is 7285.
3. What are the Factors of 7289?
Answer: Factors of 7289 are 1, 37, 197, 7289. There are 4 integers that are factors of 7289. The greatest factor of 7289 is 7289.
4. How to Find the LCM of 7285 and 7289?
Answer:
Least Common Multiple of 7285 and 7289 = 53100365
Step 1: Find the prime factorization of 7285
7285 = 5 x 31 x 47
Step 2: Find the prime factorization of 7289
7289 = 37 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53100365 = 5 x 31 x 37 x 47 x 197
Step 4: Therefore, the least common multiple of 7285 and 7289 is 53100365.
